The Steiner System S(5, 8, 24)
Particularly remarkable is the Steiner system S(5, 8, 24), also known as the Witt design or Witt geometry. It was first described by Carmichael (1931) and rediscovered by Witt (1938). This system is connected with many of the sporadic simple groups and with the exceptional 24-dimensional lattice known as the Leech lattice.
The automorphism group of S(5, 8, 24) is the Mathieu group M24, and in that context the design is denoted W24 ("W" for "Witt")
Read more about this topic: Steiner System
Famous quotes containing the words steiner and/or system:
“To many men ... the miasma of peace seems more suffocating than the bracing air of war.”
—George Steiner (b. 1929)
“He could jazz up the map-reading class by having a full-size color photograph of Betty Grable in a bathing suit, with a co- ordinate grid system laid over it. The instructor could point to different parts of her and say, “Give me the co-ordinates.”... The Major could see every unit in the Army using his idea.... Hot dog!”
—Norman Mailer (b. 1923)